The sum of the terms of an infinite geometric progression is 35 and the common ratio 1S What is the first term of the progression?

Q: The 4th term of a geometric progression is 2/3 and the seventh is 16/81.Find the geometric series

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Q: Find the 57th term of an arithmetic progression when the 1st term is -18 and the common difference…

A: We use the nth term of an arithmetic progression to answer the given question.

Q: List the first 5 terms of the sequence whose nth term is 3n - 2". Is it arithmetic progression or…

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Q: There are 7 terms in a geometric progression such that the first term is 4 while the fourth term is…

A: Given, There are 7 terms in a geometric progression First-term of geometric progression = a= 4…

Q: b. Find the first five terms of the Geometric progression whose first term is 2 and fourth terms is…

A: As a g.p. is always of the form a,ar,ar2,ar3,... Here a is the first term and r is the common ratio,…

Q: what is the sum of the first 11 terms of geometric progression

A: The sum of the first 11 terms of geometric progression

Q: In an Arithmetic Progression the 17th term is 3 times the 6 th term. If the 11 th term is 63, what…

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Q: The third term of an AP is four times the sixth term and the sum of the first ten terms is 150. Find…

A: The solution is given by using formulaes for nth term and sum of n terms as below:

Q: The sum to infinity of a geometric sequence is twice the sum of the first two terms. Find possible…

A: Topic = Geometric progression

Q: The ratio of three numbers is 2:5:7. If 7 is subtracted from the second number, the resulting…

A: Explanation of the answer is as follows

Q: find the sum of the first 15th terms in the given progression of 1/2,1/4, 1/6……… (complete…

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Q: Find the sum of the first 5 terms of the geometric progression if the third term is 144 and the…

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Q: The sum of first six terms of arthematic progression is 42. The ratio of its 10th term to its 30th…

A: In the question it is asked to calculate the value of first and thirteenth term of AP.

Q: In an arithmetic progression, the sum of the first five terms is 30, and the third term is equalto…

A: We have given  Sum of the first five terns of an arithmetic progression = 30 S5 = 30 Sum of n terms…

Q: Find the sum to infinity of the geometric sequence. Show your solution. 64, 16, 4, 1,

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Q: "If the second term of a geometric progression is 6 and the fourth term is 54, how many terms must…

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Q: The third and eighth term of an Arithmetic progression are 470 and 380 respectively. Find the first…

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Q: In a geometrical progression, the sum of the second and third terms is 9,and the seventh term is…

A: Given Information - In a geometrical progression, the sum of the second and third terms is 9,and the…

Q: The 4th term of a geometric progression is and the seventh 16 term is 81 20 find the geometric…

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Q: The first term of a geometric progression is 40 and the fourth term is 5. Find the sum to infinity…

A: We have to find sum of infinity of the geometric progression if first term of a progression is 40…

Q: In an Arithmetic Progression the 9th term is 73 and the 4th term is 43 What is the sum of the first…

A: In an Arithmetic Progression the 9th term is 73 and the 4th term is 43 General formula for nth term…

Q: The 4 term of a geometric progression is 2 and the seventh is 16 Find the geometric series 18 |

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Q: 2) Find the 10th and 20th terms of the geometric progression with first term 3 and common ratio 2.

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Q: ifth term and twice the third of an arithmetic progression equals the twelfth term. if the seventh…

A: Introduction: Arithmetic progression is a progression in which each term following the first is…

Q: The product of the first three terms of a geometric progression is 3375, and their sum is 65. Find…

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Q: find the sum of the first 10 terms of geometric progression 2x,4x+14, 20x-14

A: Geometric progression: A sequence in which the next term is produced by multiplying a fixed number…

Q: Find the sum of the first 8 terms of the geometric sequence if the first term is 5 and the common…

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Q: What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

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Q: Find the sum of the infinite geometric progression 6, -2, 2/3 …

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Q: What is the 8th term of geometric progression if the 4th term is 189 and the sixth term is 1701?

A: In geometric progression, terms are obtained by multiplying the previous term with the same number,…

Q: If the 3rd term of a geometric progression is 28 and the 7th term is 448, then find the 9th term of…

A: Use the formula for the nth term of a Geometric Progression (GP).

Q: Find the common ratio of the geometric progression whose first term is 1 and which the sum of the…

A: Find the common ratio of the geometric progression whose first term is 1 and which the sum of the…

Q: Find the sum of the first 11 terms in a geometric progression 1, -a, 4, 8, ... ...

A: Given query is to find the sum of first 11 terms of geometric progression.

Q: The sum of three consecutive terms of a geometric sequence is 104 and their product is 13824.find…

A: Let the three consecutive terms of a geometric sequence be a, ar, ar2.

Q: In a geometric progression the first term is 153 and the sixth term is 17/27 . The sum of the first…

A: we have to find the sum of the first four term

Q: Find the sum of the first 11 terms in a geometric progression 1, -2, 4, -8, ... ...

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Q: Find four numbers that form a geometric progression such that the second term is less than the first…

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Q: Find next three terms of geometric progression 5,25,125

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Q: There are three numbers in geometric progression whose sum is 26. If the first is increased by 2,…

A: The arithmetic and geometric progressions are two important rule that terms of a sequence follow to…

Q: The sum of the first 10 terms of an arithmetic sequence is 530. What is the first term if the last…

A: I have appended the formula used in the solution part.

Q: Find the first five terms of the Geometric progression whose first term is 2 terms is 54. Also find…

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Q: Find the geometric progression if the 5th term is 12 and the 8th term is 324.what is the sum to…

A: Let the geometric progression is a, ar, ar2, ar3, ar4, ar5, .... Given the 5th term is 12 That is…

Q: (a) The 1st term of a geometric progression is 4 and the 6th term is 128. Determine the 8th and 11th…

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Q: Express the number 220 as the sum of four numbers that form a geometric progression such that the…

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Q: If the 3rd term of a geometric progression is 52 and the 7th term is 832, then find the 16th term of…

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Q: The third and eighth term of an Arithmetic progression are 470 and 380 respectively. Find the first…

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Q: 2. There are 7 terms in a geometric progression such that the first term is 4 while the fourth term…

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Q: Find the 57th term of an arithmetic progression when the 1st  term -18 and the common difference is…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.